Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 841, 650, 20 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 841, 650, 20 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 841, 650, 20 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 841, 650, 20 is 1.
HCF(841, 650, 20) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 841, 650, 20 is 1.
Step 1: Since 841 > 650, we apply the division lemma to 841 and 650, to get
841 = 650 x 1 + 191
Step 2: Since the reminder 650 ≠ 0, we apply division lemma to 191 and 650, to get
650 = 191 x 3 + 77
Step 3: We consider the new divisor 191 and the new remainder 77, and apply the division lemma to get
191 = 77 x 2 + 37
We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get
77 = 37 x 2 + 3
We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get
37 = 3 x 12 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 841 and 650 is 1
Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(191,77) = HCF(650,191) = HCF(841,650) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20 is 1
Notice that 1 = HCF(20,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 841, 650, 20?
Answer: HCF of 841, 650, 20 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 841, 650, 20 using Euclid's Algorithm?
Answer: For arbitrary numbers 841, 650, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.